The generator matrix

 1  0  1  1  4  1 10  1  1  1  1  6 10  1  1  1  1  4  1  1 10  1  1  0  1  1  1  1  1  1  8  8  1  2  1  2  1  1  1  8 10  6  1  8  1  1  1  1  2  1  4  0 12  1 10  6  8  1  6  1  1  1  1  8  1 12  1 14  1
 0  1  1  6  1  7  1  4 15  2  5  1  1  8  3 14 13  1 10  9  1  0 15  1 14  2  4  8 13  2  1  1  9  1  1  1  4 14 15  1  1  1  7  1  8  7 11  1 10 10  1  2  1 12  1  1  2  4  1 13  4 14  1  1  1  1  3  1 10
 0  0  2  0 10  2  6 10  8 10  8  0 10 14  6 14  6  6  0  8  0  0  8  0 12 12  4 12 12 14 10  4  2  4 14  6  6 10  6 14  2  4 10  4  2 12  4 12  6  8  8 14 12  0  0 10  2 12 10  2 10 14 12  2  6  8  0 14 12
 0  0  0  8  0  8  8  8  8  0  0  8  8  8  8  0  0  0  0  8  0  8  0  8  0  8  0  8  8  8  8  8  8  0  8  0  0  8  0  8  0  8  0  0  0  0  8  0  0  8  8  8  0  0  8  8  0  8  0  8  0  8  8  0  0  0  0  8  0

generates a code of length 69 over Z16 who´s minimum homogenous weight is 65.

Homogenous weight enumerator: w(x)=1x^0+366x^65+402x^66+716x^67+398x^68+634x^69+376x^70+440x^71+286x^72+290x^73+54x^74+56x^75+16x^76+34x^77+20x^79+4x^81+1x^84+1x^88+1x^92

The gray image is a code over GF(2) with n=552, k=12 and d=260.
This code was found by Heurico 1.16 in 0.458 seconds.